NMSE Section 6.1 mentioned, B

Time bar (total: 12.9s)

analyze96.0ms (0.7%)

Memory
24.5MiB live, 215.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample3.4s (26.1%)

Memory
28.3MiB live, 2 071.4MiB allocated
Samples
3.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-div: 2.1s (84.6% of total)
ival-mult: 230.0ms (9.2% of total)
ival-sub: 92.0ms (3.7% of total)
ival-pi: 45.0ms (1.8% of total)
exact: 8.0ms (0.3% of total)
ival-true: 6.0ms (0.2% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess380.0ms (2.9%)

Memory
-22.5MiB live, 655.5MiB allocated
Algorithm
2×egg-herbie
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038130
1134114
2468114
32364114
45207114
57440114
01521
13519
29719
338218
4155817
5426517
0838717
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
Call 2
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
Symmetry

(sort a b)

explain355.0ms (2.8%)

Memory
-16.9MiB live, 315.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
390-2(-6.416643108046425e+154 -6.613077606287831e-283)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
140-0-(-.f64 (*.f64 b b) (*.f64 a a))
20-0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u370
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue140
↳(*.f64 b b)overflow71
↳(*.f64 a a)overflow64
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o20
↳(*.f64 b b)overflow71
↳(*.f64 a a)overflow64
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow121
Confusion
Predicted +Predicted -
+539
-0194
Precision
1.0
Recall
0.8548387096774194
Confusion?
Predicted +Predicted MaybePredicted -
+5309
-00194
Precision?
1.0
Recall?
0.8548387096774194
Freqs
test
numberfreq
0203
153
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
149.0ms512×0valid
Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-div: 108.0ms (85.2% of total)
ival-mult: 12.0ms (9.5% of total)
ival-sub: 4.0ms (3.2% of total)
ival-pi: 2.0ms (1.6% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.8%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify366.0ms (2.8%)

Memory
-8.5MiB live, 467.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓cost-diff128
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01577
13573
29773
338272
4155871
5426571
0838771
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/ (PI) 2)
(PI)
2
(/ 1 (- (* b b) (* a a)))
1
(- (* b b) (* a a))
(* b b)
b
(* a a)
a
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ 1 b)
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(/ 1 (- (* b b) (* a a)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
1
#s(literal 1 binary64)
(- (* b b) (* a a))
(-.f64 (*.f64 b b) (*.f64 a a))
(* b b)
(*.f64 b b)
b
(* a a)
(*.f64 a a)
a
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize47.0ms (0.4%)

Memory
8.0MiB live, 88.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy94.9%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy86.4%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
28.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 10.0ms (52.6% of total)
ival-mult: 6.0ms (31.5% of total)
ival-sub: 2.0ms (10.5% of total)
ival-pi: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (- (* b b) (* a a))>
#<alt (/ 1 (- (* b b) (* a a)))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* -1 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
b
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
b
@0
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
1.0ms
a
@inf
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
b
@inf
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
a
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

rewrite377.0ms (2.9%)

Memory
9.4MiB live, 715.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 700×*-lowering-*.f32
6 700×*-lowering-*.f64
4 958×accelerator-lowering-fma.f32
4 958×accelerator-lowering-fma.f64
2 990×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01550
111350
2111250
0919050
Stop Event
1×iter limit
1×node limit
Counts
6 → 651
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/ (PI) 2)
(PI)
(- (* b b) (* a a))
(/ 1 (- (* b b) (* a a)))
Outputs
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (-.f64 #s(literal 0 binary64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) a) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (-.f64 #s(literal 0 binary64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) a))
(fma.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 a a) (*.f64 b b))))) (+.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 a a) (*.f64 b b))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (-.f64 #s(literal 0 binary64) b) a))
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (*.f64 b b))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)))

simplify465.0ms (3.6%)

Memory
-30.7MiB live, 852.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
5 734×*-lowering-*.f32
5 734×*-lowering-*.f64
2 064×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911696
17681666
222951612
363831612
083411525
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 a a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (*.f64 a (*.f64 a (*.f64 a a))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a (*.f64 a a))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) #s(literal -1/2 binary64)))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) a) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (PI.f64) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) b)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (*.f64 b (*.f64 b (*.f64 b b))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b (*.f64 b b))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 (/.f64 (PI.f64) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b a)) #s(literal -1/2 binary64)))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) b) (*.f64 a a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (/.f64 (PI.f64) a)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b))) a)) a)) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (*.f64 b b) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 6 binary64)))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (*.f64 (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 8 binary64)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) b))) b) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (PI.f64))) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) b))) b) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (PI.f64))) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (PI.f64) b) b) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))))) (/.f64 (/.f64 (PI.f64) b) b)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 8 binary64)))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))))) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))))) (*.f64 a a))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(-.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(-.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(-.f64 (*.f64 b b) (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(-.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(-.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(-.f64 (*.f64 b b) (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 8 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

eval94.0ms (0.7%)

Memory
31.2MiB live, 266.4MiB allocated
Compiler

Compiled 24 806 to 2 408 computations (90.3% saved)

prune152.0ms (1.2%)

Memory
-19.2MiB live, 258.6MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New73116747
Fresh000
Picked101
Done000
Total73216748
Accuracy
99.9%
Counts
748 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
76.7%
(/.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 b a))
54.2%
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶55.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
80.7%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
▶76.0%
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 (*.f64 a a) (*.f64 b b)))) #s(literal 2 binary64))
47.9%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
48.0%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
76.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
48.6%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶99.7%
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
▶47.9%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
76.7%
(*.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
47.9%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.6%
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Compiler

Compiled 638 to 430 computations (32.6% saved)

simplify271.0ms (2.1%)

Memory
26.2MiB live, 543.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓cost-diff128
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 (*.f64 a a) (*.f64 b b)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 (*.f64 a a) (*.f64 b b)))) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 (*.f64 a a) (*.f64 b b))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
✓cost-diff128
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))
✓cost-diff128
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
Rules
7 918×accelerator-lowering-fma.f32
7 918×accelerator-lowering-fma.f64
4 190×*-lowering-*.f32
4 190×*-lowering-*.f64
1 876×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036303
1101301
2371301
31310288
43464287
56724287
08236287
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (PI) 2) (+ b a)) (/ (+ (/ 1 a) (/ -1 b)) (- b a)))
(/ (/ (PI) 2) (+ b a))
(/ (PI) 2)
(PI)
2
(+ b a)
b
a
(/ (+ (/ 1 a) (/ -1 b)) (- b a))
(+ (/ 1 a) (/ -1 b))
(/ 1 a)
1
(/ -1 b)
-1
(- b a)
(/ (/ (* 1/2 (PI)) a) (* b b))
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
1/2
(PI)
a
(* b b)
b
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))
(/ (* 1/2 (PI)) (* b b))
(* 1/2 (PI))
1/2
(PI)
(* b b)
b
(- (/ 1 a) (/ 1 b))
(/ 1 a)
1
a
(/ 1 b)
(/ (* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))) 2)
(* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b))))
(PI)
(/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))
(+ (/ 1 b) (/ -1 a))
(/ 1 b)
1
b
(/ -1 a)
-1
a
(- (* a a) (* b b))
(* a a)
(* b b)
2
(* (/ 1 (+ b a)) (* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))))
(/ 1 (+ b a))
1
(+ b a)
b
a
(* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b))))
(/ 1 (- b a))
(- b a)
(* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))
(/ (PI) 2)
(PI)
2
(+ (/ 1 a) (/ -1 b))
(/ 1 a)
(/ -1 b)
-1
Outputs
(* (/ (/ (PI) 2) (+ b a)) (/ (+ (/ 1 a) (/ -1 b)) (- b a)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/ (/ (PI) 2) (+ b a))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(+ b a)
(+.f64 b a)
b
a
(/ (+ (/ 1 a) (/ -1 b)) (- b a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a))
(+ (/ 1 a) (/ -1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
-1
#s(literal -1 binary64)
(- b a)
(-.f64 b a)
(/ (/ (* 1/2 (PI)) a) (* b b))
(/.f64 (PI.f64) (*.f64 (*.f64 b (*.f64 b a)) #s(literal 2 binary64)))
(/ (* 1/2 (PI)) a)
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a))
(* 1/2 (PI))
(/.f64 (PI.f64) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
a
(* b b)
(*.f64 b b)
b
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (* 1/2 (PI)) (* b b))
(/.f64 (PI.f64) (*.f64 (*.f64 b b) #s(literal 2 binary64)))
(* 1/2 (PI))
(/.f64 (PI.f64) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* b b)
(*.f64 b b)
b
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))) 2)
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))
(* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 (*.f64 b b) (*.f64 a a)))
(PI)
(PI.f64)
(/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 b b) (*.f64 a a)))
(+ (/ 1 b) (/ -1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(- (* a a) (* b b))
(-.f64 (*.f64 a a) (*.f64 b b))
(* a a)
(*.f64 a a)
(* b b)
(*.f64 b b)
2
#s(literal 2 binary64)
(* (/ 1 (+ b a)) (* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/ 1 (+ b a))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
1
#s(literal 1 binary64)
(+ b a)
(+.f64 b a)
b
a
(* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 b a))
(/ 1 (- b a))
(/.f64 #s(literal 1 binary64) (-.f64 b a))
(- b a)
(-.f64 b a)
(* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(+ (/ 1 a) (/ -1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
-1
#s(literal -1 binary64)

localize146.0ms (1.1%)

Memory
17.1MiB live, 322.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))
✓accuracy99.5%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
✓accuracy99.7%
(*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 (*.f64 a a) (*.f64 b b))))
✓accuracy95.2%
(-.f64 (*.f64 a a) (*.f64 b b))
✓accuracy85.8%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 (*.f64 a a) (*.f64 b b)))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
✓accuracy93.0%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓accuracy86.4%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
✓accuracy99.8%
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
✓accuracy99.7%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a))
✓accuracy99.6%
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))
Samples
79.0ms256×0valid
Compiler

Compiled 309 to 38 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 22.0ms (51.2% of total)
ival-mult: 12.0ms (27.9% of total)
ival-sub: 3.0ms (7% of total)
ival-add: 3.0ms (7% of total)
ival-pi: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
-26.1MiB live, 102.3MiB allocated
Counts
21 → 408
Calls
Call 1
Inputs
#<alt (* (/ (/ (PI) 2) (+ b a)) (/ (+ (/ 1 a) (/ -1 b)) (- b a)))>
#<alt (/ (/ (PI) 2) (+ b a))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (/ (/ (* 1/2 (PI)) a) (* b b))>
#<alt (/ (* 1/2 (PI)) a)>
#<alt (* 1/2 (PI))>
#<alt (* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))>
#<alt (/ (* 1/2 (PI)) (* b b))>
#<alt (* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b))))>
#<alt (/ (* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))) 2)>
#<alt (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))>
#<alt (* (/ 1 (+ b a)) (* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))))>
#<alt (* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b))))>
#<alt (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))>
#<alt (/ 1 (+ b a))>
#<alt (/ (+ (/ 1 a) (/ -1 b)) (- b a))>
#<alt (+ (/ 1 a) (/ -1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (* a a) (* b b))>
#<alt (+ (/ 1 b) (/ -1 a))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
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#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ a b) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ b a))) b)>
#<alt (/ (+ 1 (* -1 (/ b a))) b)>
#<alt (/ (+ 1 (* -1 (/ b a))) b)>
#<alt (/ -1 a)>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (/ -1 a)>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (/ -1 a)>
#<alt (/ (- (/ a b) 1) a)>
#<alt (/ (- (/ a b) 1) a)>
#<alt (/ (- (/ a b) 1) a)>
#<alt (/ 1 b)>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
#<alt (- (/ 1 b) (/ 1 a))>
Calls

102 calls:

TimeVariablePointExpression
12.0ms
a
@inf
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))
3.0ms
b
@-inf
(* (/ (/ (PI) 2) (+ b a)) (/ (+ (/ 1 a) (/ -1 b)) (- b a)))
2.0ms
a
@-inf
(/ (* 1/2 (PI)) a)
2.0ms
b
@0
(* (/ (/ (PI) 2) (+ b a)) (/ (+ (/ 1 a) (/ -1 b)) (- b a)))
2.0ms
b
@-inf
(- (* a a) (* b b))

rewrite483.0ms (3.7%)

Memory
40.4MiB live, 789.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 374×/-lowering-/.f32
4 374×/-lowering-/.f64
2 982×*-lowering-*.f32
2 982×*-lowering-*.f64
2 500×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036211
1276187
23262187
08708182
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 552
Calls
Call 1
Inputs
(* (/ (/ (PI) 2) (+ b a)) (/ (+ (/ 1 a) (/ -1 b)) (- b a)))
(/ (/ (PI) 2) (+ b a))
(/ (PI) 2)
(PI)
(/ (/ (* 1/2 (PI)) a) (* b b))
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))
(/ (* 1/2 (PI)) (* b b))
(* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b))))
(/ (* (PI) (/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))) 2)
(/ (+ (/ 1 b) (/ -1 a)) (- (* a a) (* b b)))
(* (/ 1 (+ b a)) (* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))))
(* (/ 1 (- b a)) (* (/ (PI) 2) (+ (/ 1 a) (/ -1 b))))
(* (/ (PI) 2) (+ (/ 1 a) (/ -1 b)))
(/ 1 (+ b a))
(/ (+ (/ 1 a) (/ -1 b)) (- b a))
(+ (/ 1 a) (/ -1 b))
(- (/ 1 a) (/ 1 b))
(- (* a a) (* b b))
(+ (/ 1 b) (/ -1 a))
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b)))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (/.f64 (/.f64 a (*.f64 b a)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b))) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b))) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))))
(fma.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b)))
(/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 (PI.f64) (*.f64 (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (neg.f64 (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 2 binary64) (PI.f64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))
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(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (/.f64 (-.f64 a b) b) a)
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) a)) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(/.f64 (neg.f64 (+.f64 a (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 a b))) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (-.f64 a b))) (neg.f64 (neg.f64 (*.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) b)) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (/.f64 (-.f64 a b) b)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 (*.f64 b a) (-.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b a) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(*.f64 (-.f64 a b) (/.f64 (/.f64 #s(literal 1 binary64) a) b))

simplify457.0ms (3.5%)

Memory
40.9MiB live, 865.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 888×accelerator-lowering-fma.f32
8 888×accelerator-lowering-fma.f64
4 660×*-lowering-*.f32
4 660×*-lowering-*.f64
2 984×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07036396
120685831
268985763
080415559
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(* 1/2 (/ (PI) b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* 1/2 (/ (PI) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
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(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(/ 1 b)
(/ (+ 1 (* -1 (/ b a))) b)
(/ (+ 1 (* -1 (/ b a))) b)
(/ (+ 1 (* -1 (/ b a))) b)
(/ -1 a)
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
(/ -1 a)
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
(/ -1 a)
(/ (- (/ a b) 1) a)
(/ (- (/ a b) 1) a)
(/ (- (/ a b) 1) a)
(/ 1 b)
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
(/ 1 b)
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
(- (/ 1 b) (/ 1 a))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))))) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/2 binary64) (*.f64 b (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 0 binary64) (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 0 binary64) (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 0 binary64) (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) b))) b))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b)) (*.f64 b b)))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) a)) (*.f64 b b)))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) a)) (*.f64 b b)) (/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))))))) (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b)) (*.f64 b b)))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (/.f64 (+.f64 (*.f64 (PI.f64) a) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) b))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))))) (+.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal 0 binary64))))) b) (+.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) #s(literal 0 binary64)) (*.f64 b b)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) #s(literal 0 binary64)) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) #s(literal 0 binary64)) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) a)) a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) a))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) #s(literal 0 binary64))) (*.f64 a a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) a))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) (*.f64 a a)) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) #s(literal 0 binary64)) (*.f64 b (*.f64 b (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)))))) (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) a)) a))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) a))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) #s(literal 0 binary64)) (*.f64 b (*.f64 b (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)))))) a))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) a) a))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a) (*.f64 a a)))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) a))))))
(* 1/2 (/ (PI) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b b))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
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(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b b) a) b) a) a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 a b) (*.f64 a (/.f64 a (*.f64 b b))))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 a a)) b) (*.f64 a a)) b)) b)) (-.f64 #s(literal 0 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) b) b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (+.f64 (*.f64 a (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) b) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) a) b) a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (-.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) a) b) a)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (*.f64 b (/.f64 (*.f64 b b) a)) (*.f64 b b)) a)) a)) (-.f64 #s(literal 0 binary64) a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(- (pow a 2) (pow b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(- (pow a 2) (pow b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(- (pow a 2) (pow b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+ (* -1 (pow b 2)) (pow a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+ (* -1 (pow b 2)) (pow a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ b a))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (* -1 (/ b a))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (* -1 (/ b a))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ (- (/ a b) 1) a)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) a)
(/ (- (/ a b) 1) a)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) a)
(/ (- (/ a b) 1) a)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(- (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

eval532.0ms (4.1%)

Memory
-76.8MiB live, 622.0MiB allocated
Compiler

Compiled 58 749 to 5 760 computations (90.2% saved)

prune311.0ms (2.4%)

Memory
-4.4MiB live, 557.3MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2 310152 325
Fresh9211
Picked415
Done000
Total2 323182 341
Accuracy
100.0%
Counts
2 341 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.4%
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
58.3%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
48.1%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (*.f64 a a)) #s(literal 2 binary64))
▶47.9%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 b b)) #s(literal 2 binary64))
76.7%
(/.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 b a))
✓55.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
98.7%
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 b a))) #s(literal 2 binary64))
64.3%
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
▶85.7%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))
64.2%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))) #s(literal 2 binary64))
99.5%
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
70.5%
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 b a)))
99.6%
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
55.5%
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
▶99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
55.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) a)) a))
▶62.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Compiler

Compiled 551 to 386 computations (29.9% saved)

simplify397.0ms (3.1%)

Memory
-6.9MiB live, 476.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
✓cost-diff128
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff0
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 b b))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 b b)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff0
(/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b)
✓cost-diff0
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
✓cost-diff0
(*.f64 b (*.f64 b a))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
✓cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
Rules
8 514×accelerator-lowering-fma.f32
8 514×accelerator-lowering-fma.f64
3 538×*-lowering-*.f32
3 538×*-lowering-*.f64
1 974×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
034206
177204
2212204
3588204
41311204
53076202
65957202
08446202
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (+ b a)) (/ (/ (* 1/2 (PI)) a) b))
(/ 1 (+ b a))
1
(+ b a)
b
a
(/ (/ (* 1/2 (PI)) a) b)
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
1/2
(PI)
(* (PI) (/ 1/2 (* b (* b a))))
(PI)
(/ 1/2 (* b (* b a)))
1/2
(* b (* b a))
b
(* b a)
a
(/ (/ (/ (/ (PI) a) 2) b) b)
(/ (/ (/ (PI) a) 2) b)
(/ (/ (PI) a) 2)
(/ (PI) a)
(PI)
a
2
b
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* b b)) 2)
(/ (- (/ (PI) a) (/ (PI) b)) (* b b))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(* b b)
2
(/ (+ (/ 1 a) (/ -1 b)) (* (/ (+ b a) (/ (PI) 2)) (- b a)))
(+ (/ 1 a) (/ -1 b))
(/ 1 a)
1
a
(/ -1 b)
-1
b
(* (/ (+ b a) (/ (PI) 2)) (- b a))
(/ (+ b a) (/ (PI) 2))
(+ b a)
(/ (PI) 2)
(PI)
2
(- b a)
Outputs
(* (/ 1 (+ b a)) (/ (/ (* 1/2 (PI)) a) b))
(/.f64 (PI.f64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal 2 binary64)))
(/ 1 (+ b a))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
1
#s(literal 1 binary64)
(+ b a)
(+.f64 b a)
b
a
(/ (/ (* 1/2 (PI)) a) b)
(/.f64 (PI.f64) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/ (* 1/2 (PI)) a)
(/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))
(* 1/2 (PI))
(/.f64 (PI.f64) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* (PI) (/ 1/2 (* b (* b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a #s(literal 2 binary64)))) b)
(PI)
(PI.f64)
(/ 1/2 (* b (* b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
1/2
#s(literal 1/2 binary64)
(* b (* b a))
(*.f64 b (*.f64 b a))
b
(* b a)
(*.f64 b a)
a
(/ (/ (/ (/ (PI) a) 2) b) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a #s(literal 2 binary64)))) b)
(/ (/ (/ (PI) a) 2) b)
(/.f64 (PI.f64) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/ (/ (PI) a) 2)
(/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
2
#s(literal 2 binary64)
b
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* b b)) 2)
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(/ (- (/ (PI) a) (/ (PI) b)) (* b b))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 b b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
(* b b)
(*.f64 b b)
2
#s(literal 2 binary64)
(/ (+ (/ 1 a) (/ -1 b)) (* (/ (+ b a) (/ (PI) 2)) (- b a)))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))
(+ (/ 1 a) (/ -1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
-1
#s(literal -1 binary64)
b
(* (/ (+ b a) (/ (PI) 2)) (- b a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (+ b a) (/ (PI) 2))
(/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+ b a)
(+.f64 b a)
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)

localize118.0ms (0.9%)

Memory
42.5MiB live, 238.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
✓accuracy99.8%
(*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))
✓accuracy99.6%
(/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy85.9%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))
✓accuracy100.0%
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy92.9%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 b b))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 b (*.f64 b a))
✓accuracy99.7%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
✓accuracy98.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓accuracy99.8%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
Samples
70.0ms256×0valid
Compiler

Compiled 208 to 36 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 31.0ms (65% of total)
ival-mult: 10.0ms (21% of total)
ival-add: 3.0ms (6.3% of total)
ival-sub: 2.0ms (4.2% of total)
ival-pi: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
-14.3MiB live, 59.4MiB allocated
Counts
23 → 456
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ b a)) (/ (/ (* 1/2 (PI)) a) b))>
#<alt (/ 1 (+ b a))>
#<alt (+ b a)>
#<alt (/ (/ (* 1/2 (PI)) a) b)>
#<alt (* (PI) (/ 1/2 (* b (* b a))))>
#<alt (PI)>
#<alt (/ 1/2 (* b (* b a)))>
#<alt (* b (* b a))>
#<alt (/ (/ (/ (/ (PI) a) 2) b) b)>
#<alt (/ (/ (/ (PI) a) 2) b)>
#<alt (/ (/ (PI) a) 2)>
#<alt (/ (PI) a)>
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) (* b b)) 2)>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (* b b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (+ (/ 1 a) (/ -1 b)) (* (/ (+ b a) (/ (PI) 2)) (- b a)))>
#<alt (+ (/ 1 a) (/ -1 b))>
#<alt (/ 1 a)>
#<alt (/ -1 b)>
#<alt (/ (* 1/2 (PI)) a)>
#<alt (/ (PI) b)>
#<alt (/ (+ b a) (/ (PI) 2))>
#<alt (* (/ (+ b a) (/ (PI) 2)) (- b a))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ a b) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (PI) (* a (pow b 2)))>
#<alt (/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a)>
#<alt (/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a)>
#<alt (/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a)>
#<alt (* -1 (/ (PI) (pow b 3)))>
#<alt (+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))>
#<alt (+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))>
#<alt (+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))>
#<alt (* -1 (/ (PI) (pow b 3)))>
#<alt (+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))>
#<alt (+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))>
#<alt (+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))>
#<alt (* -1 (/ (PI) (pow b 3)))>
#<alt (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) (pow b 3))>
#<alt (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) (pow b 3))>
#<alt (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) (pow b 3))>
#<alt (/ (PI) (* a (pow b 2)))>
#<alt (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))>
#<alt (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))>
#<alt (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))>
#<alt (/ (PI) (* a (pow b 2)))>
#<alt (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))>
#<alt (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))>
#<alt (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (* 2 (/ a (PI)))>
#<alt (+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))>
#<alt (+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))>
#<alt (+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))>
#<alt (* 2 (/ b (PI)))>
#<alt (* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))>
#<alt (* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))>
#<alt (* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))>
#<alt (* 2 (/ b (PI)))>
#<alt (* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))>
#<alt (* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))>
#<alt (* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))>
#<alt (* 2 (/ b (PI)))>
#<alt (+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))>
#<alt (+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))>
#<alt (+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))>
#<alt (* 2 (/ a (PI)))>
#<alt (* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))>
#<alt (* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))>
#<alt (* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))>
#<alt (* 2 (/ a (PI)))>
#<alt (* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))>
#<alt (* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))>
#<alt (* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))>
#<alt (* -2 (/ (pow a 2) (PI)))>
#<alt (+ (* -2 (/ (pow a 2) (PI))) (* 2 (* b (+ (* -1 (/ a (PI))) (/ a (PI))))))>
#<alt (+ (* -2 (/ (pow a 2) (PI))) (* b (+ (* 2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ b (PI))))))>
#<alt (+ (* -2 (/ (pow a 2) (PI))) (* b (+ (* 2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ b (PI))))))>
#<alt (* 2 (/ (pow b 2) (PI)))>
#<alt (* (pow b 2) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI)))))>
#<alt (* (pow b 2) (+ (* -2 (/ (pow a 2) (* (pow b 2) (PI)))) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI))))))>
#<alt (* (pow b 2) (+ (* -2 (/ (pow a 2) (* (pow b 2) (PI)))) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI))))))>
#<alt (* 2 (/ (pow b 2) (PI)))>
#<alt (* (pow b 2) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI)))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ (pow a 2) (* b (PI))))) b)) (* 2 (/ 1 (PI)))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ (pow a 2) (* b (PI))))) b)) (* 2 (/ 1 (PI)))))>
#<alt (* 2 (/ (pow b 2) (PI)))>
#<alt (+ (* 2 (* a (+ (* -1 (/ b (PI))) (/ b (PI))))) (* 2 (/ (pow b 2) (PI))))>
#<alt (+ (* 2 (/ (pow b 2) (PI))) (* a (+ (* -2 (/ a (PI))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI)))))))>
#<alt (+ (* 2 (/ (pow b 2) (PI))) (* a (+ (* -2 (/ a (PI))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI)))))))>
#<alt (* -2 (/ (pow a 2) (PI)))>
#<alt (* (pow a 2) (- (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ 1 (PI)))))>
#<alt (* (pow a 2) (- (+ (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ (pow b 2) (* (pow a 2) (PI))))) (* 2 (/ 1 (PI)))))>
#<alt (* (pow a 2) (- (+ (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ (pow b 2) (* (pow a 2) (PI))))) (* 2 (/ 1 (PI)))))>
#<alt (* -2 (/ (pow a 2) (PI)))>
#<alt (* (pow a 2) (- (* -2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ 1 (PI)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) (* a (PI)))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI))))) a)) (* 2 (/ 1 (PI)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) (* a (PI)))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI))))) a)) (* 2 (/ 1 (PI)))))>
Calls

114 calls:

TimeVariablePointExpression
5.0ms
b
@0
(* (/ 1 (+ b a)) (/ (/ (* 1/2 (PI)) a) b))
5.0ms
a
@inf
(* (/ 1 (+ b a)) (/ (/ (* 1/2 (PI)) a) b))
3.0ms
a
@inf
(/ (+ b a) (/ (PI) 2))
2.0ms
b
@inf
(* (/ (+ b a) (/ (PI) 2)) (- b a))
1.0ms
a
@0
(/ (/ (* 1/2 (PI)) a) b)

rewrite497.0ms (3.9%)

Memory
28.9MiB live, 740.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 662×/-lowering-/.f32
6 662×/-lowering-/.f64
2 996×*-lowering-*.f32
2 996×*-lowering-*.f64
2 256×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034163
1240155
22403155
08460155
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 399
Calls
Call 1
Inputs
(* (/ 1 (+ b a)) (/ (/ (* 1/2 (PI)) a) b))
(/ 1 (+ b a))
(+ b a)
(/ (/ (* 1/2 (PI)) a) b)
(* (PI) (/ 1/2 (* b (* b a))))
(PI)
(/ 1/2 (* b (* b a)))
(* b (* b a))
(/ (/ (/ (/ (PI) a) 2) b) b)
(/ (/ (/ (PI) a) 2) b)
(/ (/ (PI) a) 2)
(/ (PI) a)
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* b b)) 2)
(/ (- (/ (PI) a) (/ (PI) b)) (* b b))
(- (/ (PI) a) (/ (PI) b))
(/ (+ (/ 1 a) (/ -1 b)) (* (/ (+ b a) (/ (PI) 2)) (- b a)))
(+ (/ 1 a) (/ -1 b))
(/ 1 a)
(/ -1 b)
(/ (* 1/2 (PI)) a)
(/ (PI) b)
(/ (+ b a) (/ (PI) 2))
(* (/ (+ b a) (/ (PI) 2)) (- b a))
Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (*.f64 b a))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (*.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (+.f64 b a)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (neg.f64 (*.f64 b (+.f64 b a)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 b a)))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 b a)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b a)) (*.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (*.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 b a))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1/2 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 b a))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b a))) (neg.f64 (*.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (neg.f64 (*.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) (neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a))) (neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (PI.f64))) #s(literal -1/2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) b) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a))) (*.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) b) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 b (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 b (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(pow.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 b a)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))
(*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (/.f64 (+.f64 b a) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (PI.f64)))
(*.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (PI.f64))) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (PI.f64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -2 binary64))

simplify352.0ms (2.7%)

Memory
-14.4MiB live, 646.2MiB allocated
Algorithm
1×egg-herbie
Rules
5 988×accelerator-lowering-fma.f32
5 988×accelerator-lowering-fma.f64
3 690×*-lowering-*.f32
3 690×*-lowering-*.f64
1 910×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05445027
116484666
259404184
086824086
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/ 1 b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (PI) (pow b 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (PI) (* a (pow b 2)))
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a)
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a)
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a)
(* -1 (/ (PI) (pow b 3)))
(+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))
(+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))
(+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))
(* -1 (/ (PI) (pow b 3)))
(+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))
(+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))
(+ (* -1 (/ (PI) (pow b 3))) (/ (PI) (* a (pow b 2))))
(* -1 (/ (PI) (pow b 3)))
(/ (+ (* -1 (PI)) (/ (* b (PI)) a)) (pow b 3))
(/ (+ (* -1 (PI)) (/ (* b (PI)) a)) (pow b 3))
(/ (+ (* -1 (PI)) (/ (* b (PI)) a)) (pow b 3))
(/ (PI) (* a (pow b 2)))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (PI) (* a (pow b 2)))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(* 2 (/ a (PI)))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(* 2 (/ b (PI)))
(* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))
(* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))
(* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))
(* 2 (/ b (PI)))
(* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))
(* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))
(* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))
(* 2 (/ b (PI)))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(* 2 (/ a (PI)))
(* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))
(* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))
(* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))
(* 2 (/ a (PI)))
(* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))
(* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))
(* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))
(* -2 (/ (pow a 2) (PI)))
(+ (* -2 (/ (pow a 2) (PI))) (* 2 (* b (+ (* -1 (/ a (PI))) (/ a (PI))))))
(+ (* -2 (/ (pow a 2) (PI))) (* b (+ (* 2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ b (PI))))))
(+ (* -2 (/ (pow a 2) (PI))) (* b (+ (* 2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ b (PI))))))
(* 2 (/ (pow b 2) (PI)))
(* (pow b 2) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI)))))
(* (pow b 2) (+ (* -2 (/ (pow a 2) (* (pow b 2) (PI)))) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI))))))
(* (pow b 2) (+ (* -2 (/ (pow a 2) (* (pow b 2) (PI)))) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI))))))
(* 2 (/ (pow b 2) (PI)))
(* (pow b 2) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI)))))
(* (pow b 2) (+ (* -1 (/ (+ (* -2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ (pow a 2) (* b (PI))))) b)) (* 2 (/ 1 (PI)))))
(* (pow b 2) (+ (* -1 (/ (+ (* -2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ (pow a 2) (* b (PI))))) b)) (* 2 (/ 1 (PI)))))
(* 2 (/ (pow b 2) (PI)))
(+ (* 2 (* a (+ (* -1 (/ b (PI))) (/ b (PI))))) (* 2 (/ (pow b 2) (PI))))
(+ (* 2 (/ (pow b 2) (PI))) (* a (+ (* -2 (/ a (PI))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI)))))))
(+ (* 2 (/ (pow b 2) (PI))) (* a (+ (* -2 (/ a (PI))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI)))))))
(* -2 (/ (pow a 2) (PI)))
(* (pow a 2) (- (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ 1 (PI)))))
(* (pow a 2) (- (+ (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ (pow b 2) (* (pow a 2) (PI))))) (* 2 (/ 1 (PI)))))
(* (pow a 2) (- (+ (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ (pow b 2) (* (pow a 2) (PI))))) (* 2 (/ 1 (PI)))))
(* -2 (/ (pow a 2) (PI)))
(* (pow a 2) (- (* -2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ 1 (PI)))))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) (* a (PI)))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI))))) a)) (* 2 (/ 1 (PI)))))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) (* a (PI)))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI))))) a)) (* 2 (/ 1 (PI)))))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) a) (*.f64 a a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 4 binary64)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) b)) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
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(*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64)))
(* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 (/.f64 a (*.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 (/.f64 a (*.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* b (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 (/.f64 a (*.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* 2 (/ b (PI)))
(*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64)))
(* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 (/.f64 a (*.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 (/.f64 a (*.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* -1 (* b (- (* -2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 (/.f64 a (*.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* 2 (/ b (PI)))
(*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64)))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))
(+ (* 2 (/ a (PI))) (* 2 (/ b (PI))))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))
(* 2 (/ a (PI)))
(/.f64 (*.f64 a #s(literal 2 binary64)) (PI.f64))
(* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))
(*.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) a)))
(* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))
(*.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) a)))
(* a (+ (* 2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))
(*.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) a)))
(* 2 (/ a (PI)))
(/.f64 (*.f64 a #s(literal 2 binary64)) (PI.f64))
(* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))
(*.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) a)))
(* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))
(*.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) a)))
(* -1 (* a (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))
(*.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) a)))
(* -2 (/ (pow a 2) (PI)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64))
(+ (* -2 (/ (pow a 2) (PI))) (* 2 (* b (+ (* -1 (/ a (PI))) (/ a (PI))))))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64))
(+ (* -2 (/ (pow a 2) (PI))) (* b (+ (* 2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ b (PI))))))
(+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)))
(+ (* -2 (/ (pow a 2) (PI))) (* b (+ (* 2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ b (PI))))))
(+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)))
(* 2 (/ (pow b 2) (PI)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64))
(* (pow b 2) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64))
(* (pow b 2) (+ (* -2 (/ (pow a 2) (* (pow b 2) (PI)))) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI))))))
(*.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 (PI.f64) (*.f64 b b)))))
(* (pow b 2) (+ (* -2 (/ (pow a 2) (* (pow b 2) (PI)))) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI))))))
(*.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 (PI.f64) (*.f64 b b)))))
(* 2 (/ (pow b 2) (PI)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64))
(* (pow b 2) (+ (* 2 (/ (+ (* -1 (/ a (PI))) (/ a (PI))) b)) (* 2 (/ 1 (PI)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64))
(* (pow b 2) (+ (* -1 (/ (+ (* -2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ (pow a 2) (* b (PI))))) b)) (* 2 (/ 1 (PI)))))
(*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) (PI.f64)) b)))
(* (pow b 2) (+ (* -1 (/ (+ (* -2 (+ (* -1 (/ a (PI))) (/ a (PI)))) (* 2 (/ (pow a 2) (* b (PI))))) b)) (* 2 (/ 1 (PI)))))
(*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) (PI.f64)) b)))
(* 2 (/ (pow b 2) (PI)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64))
(+ (* 2 (* a (+ (* -1 (/ b (PI))) (/ b (PI))))) (* 2 (/ (pow b 2) (PI))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64))
(+ (* 2 (/ (pow b 2) (PI))) (* a (+ (* -2 (/ a (PI))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI)))))))
(+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)))
(+ (* 2 (/ (pow b 2) (PI))) (* a (+ (* -2 (/ a (PI))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI)))))))
(+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)))
(* -2 (/ (pow a 2) (PI)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64))
(* (pow a 2) (- (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ 1 (PI)))))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64))
(* (pow a 2) (- (+ (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ (pow b 2) (* (pow a 2) (PI))))) (* 2 (/ 1 (PI)))))
(*.f64 a (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) (PI.f64)))))
(* (pow a 2) (- (+ (* 2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ (pow b 2) (* (pow a 2) (PI))))) (* 2 (/ 1 (PI)))))
(*.f64 a (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) (PI.f64)))))
(* -2 (/ (pow a 2) (PI)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64))
(* (pow a 2) (- (* -2 (/ (+ (* -1 (/ b (PI))) (/ b (PI))) a)) (* 2 (/ 1 (PI)))))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (PI.f64))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) (* a (PI)))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI))))) a)) (* 2 (/ 1 (PI)))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) (*.f64 (PI.f64) a)) a)))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) (* a (PI)))) (* 2 (+ (* -1 (/ b (PI))) (/ b (PI))))) a)) (* 2 (/ 1 (PI)))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) (*.f64 (PI.f64) a)) a)))

eval338.0ms (2.6%)

Memory
9.2MiB live, 724.6MiB allocated
Compiler

Compiled 41 340 to 5 015 computations (87.9% saved)

prune343.0ms (2.7%)

Memory
16.0MiB live, 700.1MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New2 14582 153
Fresh8412
Picked325
Done011
Total2 156152 171
Accuracy
100.0%
Counts
2 171 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.4%
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
58.3%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
✓55.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
▶99.7%
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
▶64.3%
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
92.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a)))
57.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a))))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 b a)))
70.5%
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 b a)))
▶55.5%
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
▶99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) a) b))
▶64.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
✓62.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Compiler

Compiled 363 to 262 computations (27.8% saved)

simplify52.0ms (0.4%)

Memory
-2.5MiB live, 72.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
✓cost-diff0
(*.f64 a (*.f64 a b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 b b))
✓cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
✓cost-diff0
(*.f64 (*.f64 b #s(literal 2 binary64)) a)
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
Rules
980×*-lowering-*.f32
980×*-lowering-*.f64
672×times-frac
466×associate-*r/
442×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029156
171156
2175156
3533156
41307156
51649156
61695156
71696156
81696156
91696156
01696156
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ (PI) (* (* b 2) a)) (+ b a))
(/ (PI) (* (* b 2) a))
(PI)
(* (* b 2) a)
(* b 2)
b
2
a
(+ b a)
(* (/ (PI) (* b b)) (/ 1/2 a))
(/ (PI) (* b b))
(PI)
(* b b)
b
(/ 1/2 a)
1/2
a
(/ (/ (PI) (* a (* a b))) 2)
(/ (PI) (* a (* a b)))
(PI)
(* a (* a b))
a
(* a b)
b
2
(* (/ 1 a) (/ (/ (* 1/2 (PI)) a) b))
(/ 1 a)
1
a
(/ (/ (* 1/2 (PI)) a) b)
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
1/2
(PI)
b
(* (/ 1 (+ b a)) (/ (/ (/ (PI) 2) b) a))
(/ 1 (+ b a))
1
(+ b a)
b
a
(/ (/ (/ (PI) 2) b) a)
(/ (/ (PI) 2) b)
(/ (PI) 2)
(PI)
2
Outputs
(/ (/ (PI) (* (* b 2) a)) (+ b a))
(/.f64 (PI.f64) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b a)))))
(/ (PI) (* (* b 2) a))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(PI)
(PI.f64)
(* (* b 2) a)
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* b 2)
(*.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
a
(+ b a)
(+.f64 b a)
(* (/ (PI) (* b b)) (/ 1/2 a))
(/.f64 (PI.f64) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(/ (PI) (* b b))
(/.f64 (PI.f64) (*.f64 b b))
(PI)
(PI.f64)
(* b b)
(*.f64 b b)
b
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(/ (/ (PI) (* a (* a b))) 2)
(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) (*.f64 b a))
(/ (PI) (* a (* a b)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b a))
(PI)
(PI.f64)
(* a (* a b))
(*.f64 b (*.f64 a a))
a
(* a b)
(*.f64 b a)
b
2
#s(literal 2 binary64)
(* (/ 1 a) (/ (/ (* 1/2 (PI)) a) b))
(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) (*.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ (/ (* 1/2 (PI)) a) b)
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/ (* 1/2 (PI)) a)
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a))
(* 1/2 (PI))
(/.f64 (PI.f64) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
b
(* (/ 1 (+ b a)) (/ (/ (/ (PI) 2) b) a))
(/.f64 (PI.f64) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b a)))))
(/ 1 (+ b a))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
1
#s(literal 1 binary64)
(+ b a)
(+.f64 b a)
b
a
(/ (/ (/ (PI) 2) b) a)
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/ (/ (PI) 2) b)
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)

localize100.0ms (0.8%)

Memory
-14.8MiB live, 223.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓accuracy99.7%
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
✓accuracy99.6%
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 a (*.f64 a b))
✓accuracy99.2%
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (PI.f64) (*.f64 b b))
✓accuracy86.4%
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
✓accuracy99.6%
(*.f64 (*.f64 b #s(literal 2 binary64)) a)
✓accuracy99.6%
(/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a))
Samples
59.0ms256×0valid
Compiler

Compiled 162 to 31 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 21.0ms (50.6% of total)
ival-mult: 18.0ms (43.4% of total)
ival-pi: 1.0ms (2.4% of total)
ival-add: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
36.5MiB live, 36.5MiB allocated
Counts
19 → 372
Calls
Call 1
Inputs
#<alt (/ (/ (PI) (* (* b 2) a)) (+ b a))>
#<alt (/ (PI) (* (* b 2) a))>
#<alt (PI)>
#<alt (* (* b 2) a)>
#<alt (* (/ (PI) (* b b)) (/ 1/2 a))>
#<alt (/ (PI) (* b b))>
#<alt (* b b)>
#<alt (/ (/ (PI) (* a (* a b))) 2)>
#<alt (/ (PI) (* a (* a b)))>
#<alt (* a (* a b))>
#<alt (* (/ 1 a) (/ (/ (* 1/2 (PI)) a) b))>
#<alt (/ 1 a)>
#<alt (/ (/ (* 1/2 (PI)) a) b)>
#<alt (/ (* 1/2 (PI)) a)>
#<alt (* (/ 1 (+ b a)) (/ (/ (/ (PI) 2) b) a))>
#<alt (/ 1 (+ b a))>
#<alt (+ b a)>
#<alt (/ (/ (/ (PI) 2) b) a)>
#<alt (/ (/ (PI) 2) b)>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ a b) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
Calls

93 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/ (/ (PI) (* a (* a b))) 2)
1.0ms
a
@0
(/ (/ (PI) (* a (* a b))) 2)
0.0ms
a
@inf
(* (* b 2) a)
0.0ms
a
@inf
(/ (/ (PI) (* a (* a b))) 2)
0.0ms
b
@inf
(* (* b 2) a)

rewrite333.0ms (2.6%)

Memory
-5.1MiB live, 545.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 528×*-lowering-*.f32
3 528×*-lowering-*.f64
3 290×/-lowering-/.f32
3 290×/-lowering-/.f64
1 416×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029117
1190117
21746117
37328117
08319117
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 245
Calls
Call 1
Inputs
(/ (/ (PI) (* (* b 2) a)) (+ b a))
(/ (PI) (* (* b 2) a))
(PI)
(* (* b 2) a)
(* (/ (PI) (* b b)) (/ 1/2 a))
(/ (PI) (* b b))
(* b b)
(/ (/ (PI) (* a (* a b))) 2)
(/ (PI) (* a (* a b)))
(* a (* a b))
(* (/ 1 a) (/ (/ (* 1/2 (PI)) a) b))
(/ 1 a)
(/ (/ (* 1/2 (PI)) a) b)
(/ (* 1/2 (PI)) a)
(* (/ 1 (+ b a)) (/ (/ (/ (PI) 2) b) a))
(/ 1 (+ b a))
(+ b a)
(/ (/ (/ (PI) 2) b) a)
(/ (/ (PI) 2) b)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a))) b) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (+.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (+.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(fma.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a)))))
(fma.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(fma.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))))
(fma.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 b b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a))) b (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (+.f64 b a)))
(neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64)))))
(neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))) (/.f64 #s(literal -1 binary64) a)))
(neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (*.f64 b (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (*.f64 a (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b (+.f64 b a))) a))
(neg.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (+.f64 b a)) b))
(/.f64 (PI.f64) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (PI.f64) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a)))) (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)) (neg.f64 (/.f64 (PI.f64) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64))))))
(/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (neg.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))) a)
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (+.f64 b a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (*.f64 b a))
(/.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 b a))) (*.f64 (*.f64 b a) #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal -2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b (+.f64 b a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (+.f64 b a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 b a)))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(pow.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a)))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))))
(*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))))
(*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (+.f64 b a)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))))
(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (+.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (+.f64 b a)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (+.f64 b a)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (+.f64 b a)) (/.f64 #s(literal 1 binary64) b))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 b #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 b #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) b) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 b #s(literal 1/2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 b #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -1/2 binary64)))

simplify419.0ms (3.2%)

Memory
1.8MiB live, 789.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 772×accelerator-lowering-fma.f32
9 772×accelerator-lowering-fma.f64
5 136×*-lowering-*.f32
5 136×*-lowering-*.f64
2 208×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02633236
16963194
218393154
356613148
085603064
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/ 1 b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 a a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 b (+.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (+.f64 #s(literal -1 binary64) (/.f64 a b)))) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (/.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 a b))) b)) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (+.f64 #s(literal -1 binary64) (/.f64 a b)))) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (/.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 a b))) b)) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (+.f64 #s(literal -1 binary64) (/.f64 a b)))) b)
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (*.f64 a (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 a (pow.f64 b #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a) b) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a) b) a)) a)
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)

eval338.0ms (2.6%)

Memory
-14.8MiB live, 493.7MiB allocated
Compiler

Compiled 28 522 to 3 177 computations (88.9% saved)

prune236.0ms (1.8%)

Memory
1.4MiB live, 482.7MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New1 90491 913
Fresh707
Picked235
Done033
Total1 913151 928
Accuracy
100.0%
Counts
1 928 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 2 binary64))
✓62.4%
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
92.9%
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))) a)
99.6%
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (PI.f64))) (+.f64 b a))
58.2%
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (PI.f64))) b)
✓55.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
64.2%
(/.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
65.1%
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
✓64.3%
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
64.7%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
✓55.5%
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
64.7%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
✓64.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
✓62.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Compiler

Compiled 891 to 308 computations (65.4% saved)

regimes46.0ms (0.4%)

Memory
-24.2MiB live, 98.3MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (PI.f64))) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))) a)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 b b)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (*.f64 a a)) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) a)) a))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 (*.f64 a a) (*.f64 b b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 b a))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) a) b))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
Calls

3 calls:

15.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
14.0ms
b
13.0ms
a
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes24.0ms (0.2%)

Memory
13.7MiB live, 52.1MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (PI.f64))) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b (+.f64 b a))) a)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 b b)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (*.f64 a a)) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (PI.f64)) a)) a))
Outputs
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
Calls

2 calls:

12.0ms
b
10.0ms
a
Results
AccuracySegmentsBranch
99.7%1b
99.7%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-17.2MiB live, 25.3MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a)))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
Calls

2 calls:

6.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
96.9%2a
99.7%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b)
Calls

2 calls:

5.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
88.9%2a
92.2%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
Outputs
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
91.8%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
-30.5MiB live, 7.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
91.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
Outputs
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
91.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Calls

2 calls:

1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
62.5%1a
62.5%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.1%)

Memory
-7.4MiB live, 30.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.0770058006995647e+103
2.435264125291955e+107
Samples
12.0ms128×0valid
Compiler

Compiled 234 to 172 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.3% of total)
ival-mult: 3.0ms (37.3% of total)
ival-sub: 1.0ms (12.4% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
24.0MiB live, 23.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.903572039578369e-46
2.6767357866091976e-45
Samples
8.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.6% of total)
ival-mult: 2.0ms (33.6% of total)
ival-sub: 1.0ms (16.8% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
-13.7MiB live, 24.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.903572039578369e-46
2.6767357866091976e-45
Samples
10.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 5.0ms (61% of total)
ival-mult: 2.0ms (24.4% of total)
ival-sub: 1.0ms (12.2% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-11.4MiB live, 30.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.9859281328691292e-81
1.309985161815968e-78
Samples
14.0ms128×0valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (28.4% of total)
ival-sub: 3.0ms (28.4% of total)
ival-mult: 3.0ms (28.4% of total)
ival-pi: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.903572039578369e-46
2.6767357866091976e-45
Samples
8.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (49.2% of total)
ival-mult: 2.0ms (32.8% of total)
ival-sub: 1.0ms (16.4% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-20.1MiB live, 18.7MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
8×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052151
168151
271151
373151
474151
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
(if (<=.f64 b #s(literal 1050000000000000049754489535360919819943448705723252261354234166874729164698729975502609665566793390882816 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a))) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b))
(if (<=.f64 b #s(literal 6749139785887759/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b))
(if (<=.f64 b #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 677925572924117/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 8034690221294951/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Outputs
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (+.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 #s(literal 2 binary64) b))) (+.f64 b a))
(if (<=.f64 b #s(literal 1050000000000000049754489535360919819943448705723252261354234166874729164698729975502609665566793390882816 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a))) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b))
(if (<=.f64 b #s(literal 6749139785887759/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b))
(if (<=.f64 b #s(literal 6749139785887759/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 #s(literal 2 binary64) b))) a) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) b))
(if (<=.f64 b #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 #s(literal 2 binary64) b))) a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 677925572924117/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 677925572924117/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 8034690221294951/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))

soundness1.1s (8.2%)

Memory
54.4MiB live, 1 111.3MiB allocated
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
9 772×accelerator-lowering-fma.f32
9 772×accelerator-lowering-fma.f64
8 888×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034163
1240155
22403155
08460155
07036396
120685831
268985763
080415559
01550
111350
2111250
0919050
029117
1190117
21746117
37328117
08319117
02911696
17681666
222951612
363831612
083411525
036211
1276187
23262187
08708182
02633236
16963194
218393154
356613148
085603064
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 468 to 284 computations (39.3% saved)

preprocess102.0ms (0.8%)

Memory
-29.3MiB live, 127.1MiB allocated
Compiler

Compiled 456 to 202 computations (55.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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